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USPshnik [31]
2 years ago
9

What is x, the length of the diagonal, to the nearest

Mathematics
1 answer:
love history [14]2 years ago
8 0

The value of x, the length of the diagonal, to the nearest  whole number is 5

To get the value of x from the given diagram, we will use the cosine rule as shown:

c² = a² + b² - 2ab cos Ф

From the given diagram;

a  = 6

b = 4

Ф = 55 degrees

Substitute into the formula

c² = 6² + 4² - 2(4)(6)cos 55

c² = 36 + 16 - 48cos55

c² = 52 - 27.53

c² = 24.4

c = 4.94

c = 5 (to the nearest while number).

The value of x, the length of the diagonal, to the nearest  whole number is 5

Learn more on cosine rule here: brainly.com/question/7872492

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